"falling rain" is a grammatically correct and commonly used phrase in written English.
It refers to rain that is currently falling from the sky. Example: Despite the falling rain, the children continued to play in the park.
The falling rain is monotonous.
Some people like to sleep to falling rain.
On the horizon a column of falling rain races landward.
We will see you in the warm breezes, gently falling rain, sunrises and sunsets".
The room fell silent, and the turkey made the hissing sound of falling rain.
Preserved for centuries, she is stirred to life by falling rain.
Outside, beneath softly falling rain, Mr. Giuliani took questions from journalists.
Texts were often simulations of sounds, like a sputtering plane engine or an exploding artillery shell or falling rain.
That was an exquisite, super-thin amoeba of highly polished steel that seemed to float above the grass, inverting reflections of trees, people – and even falling rain.
Before the play begins, a curtain of falling rain screens the stage, which is further separated from the audience by an overflowing moat.
The snapshot moment of the dance — when he hops onto a lamppost amid the falling rain — doesn't tell the whole story.
